Alex has 512 cubes, with dimensions in feet (ft), like the one shown. He uses all the cubes to fill a box shaped like a larger rectangular prism. There are no gaps between the cubes.

Answers

Answer 1

A) First, find the volume of each cube:

V = s³

  = (1/2)³

  = 1/8 ft³

We have a total of 64 cubes, therefore the maximum volume will be:

Vmax = 64 · (1/8) = 8 ft³

B) The volume of a rectangular prism is given by:

V = w × l × h

Therefore any combination of w × l × h = Vmax = 8 will be fine.

Examples:

2 × 2 × 2

4 × 2 × 1


Related Questions

Rewrite the function by completing the square. 2x^2 - 9x + 7 = 0.
Answer will look like this: (x + ____)^2 = ____
I need the blanks, any help? ​

Answers

Answer:

9=5

Step-by-step explanation:

Answer:

Step-by-step explanation:

2x²-9x+7=0

2x²-9x=-7

x²-9/2 x +(-9/4)²=-7+(-9/4)²

(x-9/4)²=-7+81/16=(-112+81)/16=-31/16

(x+(-9/4))²=-31/16

Rosa made a mosaic wall mural using 46 black tiles, 35 blue tiles and 19 red tiles.
Enter a percent to represent the number of red tiles in the mural.
The number of red tiles in the mural represents
%
What is the answer

Answers

Answer:

21%

Step-by-step explanation:

Which ordered pair
describes a point
with location in the
second quadrant?
A. (-6, -5)
B. (-6, 5)
C. (6, 5)
D. (6, -5)

Answers

Answer:

B)  (-6,5)

Step-by-step explanation:

Quadrant I:  (+,+)

Quadrant II: (-,+)

Quadrant III: (-,-)

Quadrant IV: (+,-)

A spinner has five sections labeled a,b,c,d,e. The spinner is spun 45 times


Answers

Answer:

40

Step-by-step explanation: pls I need points make brainpy

Pls help with this question! Its due today!

Answers

Answer:

down below.

Step-by-step explanation:

straight lines are always 180.

[tex]x+34+2x+2=180\\3x+36=180\\3x+36-36=180-36\\3x=144\\3x/3=144/3\\x=48[/tex]

Please help fast !!!!

Answers

2. 1/3

3.

a) 40

b)30 or 40

c) 110

Answer:

2. [tex]\frac{1}{3} = 33%[/tex]

3. A. [tex]\frac{1}{4} = 25[/tex]

   B. [tex]\frac{1}{2} = 50[/tex]

   C. [tex]\frac{4}{5} = 80[/tex]

Step-by-step explanation:

Hope this helps

Which of the following statements is false?
A
Credit cards let you spend unlimited money.
B.
Credit cards have minimum monthly payments.
с
Credit cards give you the chance to build good credit.
D
Credit cards let you spend money that you don't have.

Answers

Answer:

A: Credit Cards let you spend unlimited amount of money.

Please help me with this ASAP ASAP please please help

Answers

Answer:

4ㅈr² is formula

so

4 × ㅈ× (16)²

= 1024ㅈ cm²

Help please.................

Answers

Answer:

X > 2

Step-by-step explanation:

HELP HELP HELP ME OUT PLEASE WHATS THE ANSWER TO THIS YOU'LL GET 50+ BRAINLIEST POINTS PLEASE ANSWER CORRECTLY

Answers

500 people were surveyed.Just add all the numbers...
500 people were surveyed

I WILL GIVE 50 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT. The zeros of a function H are -2,3 and -4 which of the following could be h(x)

Answers

Answer:

a

Step-by-step explanation:

kkkkkkkkkkkkkkkkkkkkkkk

Answer:

a. h(x)=(x+2) (x-3) (x+4)

Step-by-step explanation:

The zeros of the function are -2, 3 and -4:

(x=-2) (x=3) (x=-4)

(x+2) (x-3) (x+4)

Using the following conversions between the metric and U.S. systems, convert the measurement.
Round your answer to 6 decimal places as needed.
1 meter = 3.28 feet
1 Liter = 0.26 gallons
1 kilogram = 2.20 pounds
12.892 dam = [answer] in miles

Answers

Answer:

It's 23.131 KL

pattern x starts with the number 0 and follows the rule "add 2". pattern y starts with the number 30 and follows the rule "subtract 5". place a check mark in the box next to each ordered pair that that could be formed by the corresponding terms in the patterns
A. [2, 5]
B. [4, 20]
C. [10, 5]
D. [12, 0]
E. [15, 22]
F. [6, 15]

Answers

F is the best answer choice for you

Matthew bought 3 pounds of cheese. He sliced the cheese into 8 equal sized pieces. How much does each piece of cheese weigh A. 6 oz B 12 oz C. 24 oz D. 48 oz

Answers

Answer:

6

Step-by-step explanation:

There are 48 oz in 3 pounds, or 16 oz in a pound. Now divide the oz by the equal sizes

48/8=6

1. Suppose the positive numbers a և b are such that a + b = 7.
A. b-1:
B. 1:
Գ. 0:
D. -1:
E. a

Answers

Գ is the answer for the question

Using an appropriately designed and analyzed study, a researcher observes a p-value of 0.010000. Consider the following propositions: PROPOSITION ONE: At the 5% significance level, the appropriate decision is to reject the null hypothesis; PROPOSITION TWO: At the 1% significance level, the appropriate decision is to reject the null hypothesis.

a. PROPOSITION ONE is true and PROPOSITION TWO is true
b. PROPOSITION ONE is true and PROPOSITION TWO is false
c. PROPOSITION ONE is false and PROPOSITION TWO is true
d. PROPOSITION ONE is false and PROPOSITION TWO is false
e. None of the above

Answers

Answer: a.

a. PROPOSITION ONE is true and PROPOSITION TWO is true

b. PROPOSITION ONE is true and PROPOSITION TWO is false

c. PROPOSITION ONE is false and PROPOSITION TWO is true

d. PROPOSITION ONE is false and PROPOSITION TWO is false

e. None of the above

The number of guppies that a fish tank can safely hold depends on its volume. A fish tank should have a volume of 576 cubic inches to safely hold 3 guppies. How many guppies can a fish tank that is 24 inches long, 12 inches wide, and 16 inches high safely hold? It can safely hold ___ guppies.

Answers

The answer is 24 guppies. First find the volume of the tank, then divide that volume by 576 (you should get 8), then you multiply 3 guppies by 8 to get 2e

Assume a student shows up for EGR 280 completely unprepared and the instructor gives a pop quiz. Assume there are 6 questions, every single question is multiple choice question. Assume that each question has five options (a, b, c, d, and e), the student selects the answer randomly. Also assume that whether one question is answered correctly is independent of whether or not another question is answered correctly.

Required:
For a single question, what it the probability (p) that the student answers correctly?

Answers

Answer:

P=20%

Step-by-step explanation:

Let's suppose that each question in the test has one and only one correct answer. This means we have 1 desired outcome out of the total 5 desired outcomes. Therefore:

Probability=#of desired outcomes / #of possible outcomes

or

[tex]P=\frac{1 correct}{5 opctions}[/tex]

[tex]P=\frac{1}{5}[/tex]

P=0.20

P=20%

Help ASAP pleaseeee. I will give brainliest!!
Make a list of all the possible outcomes of a three‐color spinner that is spun four times in a row.

Answers

There is 81 possible outcomes

Solve for x

6-6x = -24​

Answers

Answer:

=

5

Step-by-step explanation:

Answer:

X = 5

Step-by-step explanation:

Please help! 4th grade math. (See below)
*Use an equation to write each fraction or product as a multiple of a unit fraction*
3/5

Answers

Does this work:

1/5+1/5+1/5=3/5

Consider the following problem: The box fill weight of Frosted Flakes breakfast cereal follows a normal distribution with a mean of 9.75 ounces and a standard deviation of 0.27 ounces. A sample of 25 boxes filled this morning showed a mean of 9.85 ounces. At the 0.05 significance level, can we conclude that the mean weight is more than 9.75 ounces per box

Answers

Answer:

Yes, we can

Step-by-step explanation:

H0 : μ = 9.75

H1 : μ > 9.75

n = 25 ; xbar = 9.85 ; σ = 0.27

The test statistic:

T = (xbar - μ) ÷ (σ / √n)

T = (9.85 -9.75) ÷ (0.27 ÷ √25)

T = 0.1 ÷ 0.054

T = 1.85

We can obtain the Pvalue from the test statistic using the Pvalue calculator :

Pvalue at t score = 1.85 ; 24 = 0.038

If Pvalue < α ; Reject H0

α = 0.05

Since Pvalue < α ; We reject H0 and conclude that mean weight is more than 9.75 ounces per box

The only solution to x^2+bx+c=0 is x=5 find a and b

Answers

Answer:

b=-10

c=25

Step-by-step explanation:

if the only solution is 5 so

x^2+bx+c=(x-5)²=x²-10x+25

b=-10

c=25

How many different amounts of nuggets can you find that can be ordered by combining 6, 9, and 20?

Answers

- Plot- Something interesting happens. After 43 nuggets, it is possible to fill any order request exactly. The number 43 is the largest number of nuggets it is not possible to make using packs of six, nine and twenty.

"Branliest will be appreciated"

if lim x-> 4 f(x)=5 lim x-> 4 f g(x)=0 and lim x-> 4 f h(x)=-2, then find lim (fg)(x)

a.1
b.0
c.3
d.does not exist

Answers

Answer:

0

Step-by-step explanation:

Assuming the problem is:

"lim x-> 4 f(x)=5 lim x-> 4 g(x)=0 and lim x-> 4 h(x)=-2, then find lim x->4 (fg)(x)"

lim x->4 (fg)(x)

Since we know the limits of f and g at x=4 exist we can write the limit as:

lim x->4 f(x) lim x->4 g(x) (since fg(x) means f times g of x.)

5(0)

0

if lim x-> 4 f(x)=5 lim x-> 4 f g(x)=0 and lim x-> 4 f h(x)=-2, then lim (fg)(x) 0

What is inequality?

inequality the relationship between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”.

Assuming the problem is:

"lim x-> 4 f(x)=5 lim x-> 4 g(x)=0 and lim x-> 4 h(x)=-2, then find lim x->4 (fg)(x)"

lim x->4 (fg)(x)

Since we know the limits of f and g at x=4 exist we can write the limit as:

lim x->4 f(x) lim x->4 g(x) (since fg(x) means f times g of x.)

=5(0)

=0

Hence the lim x-> 4 f(x)=5 lim x-> 4 f g(x)=0 and lim x-> 4 f h(x)=-2, then lim (fg)(x) 0

To know more about inequality follow

https://brainly.com/question/24372553

#SPJ2

In sixteen years Paul will be 48 years old.
How old is he now?

Answers

Answer:

32 years old

Step-by-step explanation:

48-16=32

Answer:

Paul is 32 years old

Step-by-step explanation:

48 - 16 = 32

X+4y=8 and 3x+4y=0 find the slope-intercept form

Answers

Answer:

Step-by-step explanation:

Slope intercept form: y =mx + c

1) x + 4y = 8

        4y = -x + 8

Divide the equation by 4

  [tex]\frac{4y}{4}=\frac{-x}{4}+\frac{8}{4}\\\\y = \frac{-1}{4}x + 2[/tex]

Here, m = -1/4  and y-intercept = 2

2) 3x + 4y = 0

          4y = -3x

Divide the equation by 4

           y = [tex]\frac{-3}{4}x[/tex]

Find the volume of the object

Answers

Answer:

v=(6*9*12)

Step-by-step explanation:

Answer:

[tex]volume = \frac{1}{3} (length \times breadth \times height )\\ = (12 \times 9 \times 6) \frac{1}{3} [/tex]

Gavin went on 24 runs last month that totaled 100 miles. Each run was a distance of either 3 miles or 5 miles. Which system of equations can be used to determine the number of 3-mile runs, x, and the number of 5-mile runs, y, that Gavin went on last month?
A.
x + y = 100
3x + 5y = 24

B.
x + y = 100
5x + 3y = 24

C.
x + y = 24
3x + 5y = 100

D.
x + y = 24
5x + 3y = 100

Answers

Answer:

d

Step-by-step explanation:

This composite figure is made up of three simpler shapes. What is the area of
the figure?
7 cm
4 cm
5 cm
4 CE
8 cm
A. 66 square cm
R 50 square cm
C. 46 square cm
D. 80 square cm

Answers

Answer:

A. 66 square cm

Step-by-step explanation:

HOPE IT HELPSS! :D

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